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LenaWriter [7]
2 years ago
12

Slice for the missing sides 45-45-90 triangle. show work thank you

Mathematics
1 answer:
Lelu [443]2 years ago
3 0

Answer:

x and y are 5.66 units

Step-by-step explanation:

The triangle above is a right angled triangle ; and can be solved using trigonometric relation :

Using :

Sin 45 = opposite / hypotenus

Opposite = y ; hypotenus = 8

Sin 45 = y/8

y = sin 45 * 8

y = 5.66 units

Side length x ;

Sin 45 = opposite / hypotenus

Sin 45 = x / 8

x = sin 45 * 8

x = 5.66 units

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Answer:

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Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

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Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

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